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Finding the Fourth Proportional to 200,267.10, 300,511.35 and 82,021.41

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Solution

The fourth proportional to 200,267.10, 300,511.35 and 82,021.41 is: 123,077.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,267.10 : 300,511.35 = 82,021.41 : x
  2. Step 2: Convert to fraction form
    200,267.10/300,511.35 = 82,021.41/x
  3. Step 3: Cross multiply
    200,267.10x = 300,511.35 × 82,021.41
  4. Step 4: Simplify right side
    200,267.10x = 24,648,364,648.00
  5. Step 5: Solve for x
    x = 24,648,364,648.00/200,267.10
  6. Step 6: Final answer
    x = 123,077.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.